(195/x)-x=-2

Solution for (195/x)-x=-2 equation:

(195/x)-x=-2

We move all terms to the left:

(195/x)-x-(-2)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+195/x)-x-(-2)=0

We add all the numbers together, and all the variables

-1x+(+195/x)+2=0

We get rid of parentheses

-1x+195/x+2=0

We multiply all the terms by the denominator


-1x*x+2*x+195=0

We add all the numbers together, and all the variables

2x-1x*x+195=0

Wy multiply elements

-1x^2+2x+195=0

a = -1; b = 2; c = +195;
Δ = b2-4ac
Δ = 22-4·(-1)·195
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-28}{2*-1}=\frac{-30}{-2}
=+15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+28}{2*-1}=\frac{26}{-2}
=-13
$